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The sum of the legs of a right triangle ...

The sum of the legs of a right triangle is 9 cm. When the triangle rotates about one of the legs, a cone result which has the maximum volume. Then

A

(a)slant heigth of such a cone is `3sqrt5`

B

(b)maximum value of the cone is `32pi`

C

(c)curved surface of the cone is `18sqrt5pi`

D

(d)semi vertical angle of cone is `tan^(-1)sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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